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Finding the Fourth Proportional to 414,352.95, 620,374.64 and 211,512.72

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Solution

The fourth proportional to 414,352.95, 620,374.64 and 211,512.72 is: 316,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,352.95 : 620,374.64 = 211,512.72 : x
  2. Step 2: Convert to fraction form
    414,352.95/620,374.64 = 211,512.72/x
  3. Step 3: Cross multiply
    414,352.95x = 620,374.64 × 211,512.72
  4. Step 4: Simplify right side
    414,352.95x = 131,217,124,141.45
  5. Step 5: Solve for x
    x = 131,217,124,141.45/414,352.95
  6. Step 6: Final answer
    x = 316,679.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.